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Four-stage transmission error curve of spiral bevel gear and design method thereof

A technology of spiral bevel gears and transmission errors, which is applied to components with teeth, belts/chains/gears, mechanical equipment, etc., and can solve problems such as large relative speed steps and tooth-changing impacts that have not been well resolved , to achieve the effect of avoiding fluctuations, improving transmission performance, and improving transmission performance

Inactive Publication Date: 2012-09-12
NORTHWESTERN POLYTECHNICAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

A closer look at the fourth-order transmission error curve of the Stadtfeld type also reveals that there is still a large relative speed step when changing gears, and the impact caused by gear changing has not been well resolved

Method used

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  • Four-stage transmission error curve of spiral bevel gear and design method thereof
  • Four-stage transmission error curve of spiral bevel gear and design method thereof
  • Four-stage transmission error curve of spiral bevel gear and design method thereof

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Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0043] Describe the present invention below in conjunction with specific embodiment:

[0044] 1. The basic principle of transmission error

[0045] 1.1, the formation principle of transmission error

[0046] The spiral bevel gear is a point contact local conjugate transmission, and the transmission error is defined as

[0047]

[0048] In the formula ——The actual corner of the small wheel and the big wheel

[0049] ——The actual rotation angle of the small wheel and the large wheel when the reference point of the tooth surface meshes

[0050] z 1 ,z 2 ——The number of teeth of the small wheel and the big wheel

[0051] The first term in formula (1) is the rotation angle of the bull wheel when it meshes with the reference point, is the rotation angle of the small wheel when meshing relative to the reference point, is the nominal rotation angle of the bull wheel determined according to the nominal transmission ratio. Among them, the relative rotation angle of th...

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Abstract

The invention provides a four-stage transmission error curve of a spiral bevel gear and a design method thereof. The four-stage transmission error curve is characterized in that only one point of intersection is formed between two adjacent curves, so that times for tooth changing are reduced and impact frequency and vibration frequency are reduced; and the slopes of the two adjacent curves at the point of intersection are very close so that vibration and impact during the tooth changing are very low; and therefore, the transmission performance of the spiral bevel gear is further improved. A pre-control point is arranged so as to determine various coefficients in a four-stage polynomial in combination with a four-stage transmission error calculation method; the curve is translated downwards to be at a zero line according to a maximum function value point; the transmission error curve is translated leftwards and rightwards by a small gear pitch angle, so that the transmission error curves of a former pair of teeth and a following rear pair of teeth are obtained; and then the number of the point of intersection of the two adjacent transmission error curves and the slope difference between curves at each point of intersection are observed, and simultaneously, the pre-control point is adjusted so that the transmission error curves meet the requirements.

Description

technical field [0001] The invention relates to the technical field of gear transmission, in particular to a fourth-order transmission error curve of a spiral bevel gear and a design method thereof Background technique [0002] Spiral bevel gears are very important transmission parts in mechanical transmission, and are widely used in aircraft, ships and other precision machinery. The transmission performance of the spiral bevel gear is related to the transmission error curve and the contact impression of the tooth surface, and the transmission error curve has a greater impact on its vibration and noise. From a dynamic point of view, vibration is caused by periodic changes in object displacement or / and velocity; shock is caused by sudden changes in speed, and vibration and shock produce noise. The vibration, shock and noise of gear transmission mainly come from the meshing vibration and shock of gear teeth. For a pair of gears meshing with each other, the periodic change of...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): F16H55/17
Inventor 刘光磊刘则良常凯
Owner NORTHWESTERN POLYTECHNICAL UNIV
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